The generator matrix

 1  1  1  1  1  1  1  X  X X^2  1  0
 0  X  0  X  0  0 X^2+X  X X^2  X X^2+X X^2
 0  0  X  X  0 X^2+X X^2+X X^2+X  X X^2+X X^2  X
 0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0

generates a code of length 12 over Z2[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+80x^10+108x^12+56x^14+3x^16+8x^18

The gray image is a linear code over GF(2) with n=48, k=8 and d=20.
This code was found by Heurico 1.16 in 0.0438 seconds.